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Finding the Fourth Proportional to 10,517.88, 15,779.86 and 3,401.97

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Solution

The fourth proportional to 10,517.88, 15,779.86 and 3,401.97 is: 5,103.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,517.88 : 15,779.86 = 3,401.97 : x
  2. Step 2: Convert to fraction form
    10,517.88/15,779.86 = 3,401.97/x
  3. Step 3: Cross multiply
    10,517.88x = 15,779.86 × 3,401.97
  4. Step 4: Simplify right side
    10,517.88x = 53,682,610.32
  5. Step 5: Solve for x
    x = 53,682,610.32/10,517.88
  6. Step 6: Final answer
    x = 5,103.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.